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      Question

      Efficiency of A is 60% more than B and B takes 32 days

      to complete a piece of work. A started the work alone and then B joined him 5 days before actual completion of the work. For how many days A worked alone?
      A 75/13 days Correct Answer Incorrect Answer
      B 89/6 days Correct Answer Incorrect Answer
      C 95/8 days Correct Answer Incorrect Answer
      D 73/5 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Efficiency Ratio = A : B = 160 : 100 = 8 : 5 Days Ratio = A : B = 5 : 8 B takes 32 days to complete a piece of work. => 8’s = 32 => 1’s = 4 => 5’s = 20 So A can complete the work in 20 days. Total units of work = 160 (LCM of 20,32) A = 8 unit B = 5 unit A and B worked for 5 days = 5 × (8+5) = 65 units Remaining work = 160 – 65 = 95 units Hence, A worked alone for = 95/8 days.

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